Compare 6/27 and 5/64
6/27 is greater than 5/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 64 is 1728
Next, find the equivalent fraction of both fractional numbers with denominator 1728 - For the 1st fraction, since 27 × 64 = 1728,
6/27 = 6 × 64/27 × 64 = 384/1728 - Likewise, for the 2nd fraction, since 64 × 27 = 1728,
5/64 = 5 × 27/64 × 27 = 135/1728 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 384/1728 > 135/1728 or 6/27 > 5/64
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